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22713328 = 24112331181
BaseRepresentation
bin101011010100…
…1001111110000
31120201221211101
41112221033300
521303311303
62130454144
7364026421
oct126511760
946657741
1022713328
1111903950
127734354
134923451
143033648
151ed9d1d
hex15a93f0

22713328 has 80 divisors (see below), whose sum is σ = 51996672. Its totient is φ = 9504000.

The previous prime is 22713319. The next prime is 22713329. The reversal of 22713328 is 82331722.

It is a junction number, because it is equal to n+sod(n) for n = 22713296 and 22713305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22713329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125398 + ... + 125578.

Almost surely, 222713328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22713328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25998336).

22713328 is an abundant number, since it is smaller than the sum of its proper divisors (29283344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22713328 is a wasteful number, since it uses less digits than its factorization.

22713328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 22713328 is about 4765.8501864830. The cubic root of 22713328 is about 283.2002229030.

The spelling of 22713328 in words is "twenty-two million, seven hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 23 31 44 46 62 88 92 124 176 181 184 248 253 341 362 368 496 506 682 713 724 1012 1364 1426 1448 1991 2024 2728 2852 2896 3982 4048 4163 5456 5611 5704 7843 7964 8326 11222 11408 15686 15928 16652 22444 31372 31856 33304 44888 45793 61721 62744 66608 89776 91586 123442 125488 129053 183172 246884 258106 366344 493768 516212 732688 987536 1032424 1419583 2064848 2839166 5678332 11356664 22713328